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Table of Contents

Equations and Inequalities

Chapter Study Guide

2

(1)

Real Numbers and Number Operations

3

(8)

Algebraic Expressions and Models

11

(8)

Quiz 1

17

(1)

Calculator Activity: Evaluating Expressions

18

(1)

Solving Linear Equations

19

(7)

Graphing Calculator: Using Tables to Solve Equations

25

(1)

Rewriting Equations and Formulas

26

(7)

Problem Solving Using Algebraic Models: Exploring Data and Statistics

33

(8)

Quiz 2

40

(1)

Solving Linear Inequalities

41

(9)

Graphing Calculator: Solving an Inequality

48

(2)

Solving Absolute Value Equations and Inequalities

50

(17)

Concept Activity: Absolute Value Equations and Inequalities

49

(7)

Quiz 3

56

(10)

Linear Equations and Functions

Chapter Study Guide

66

(1)

Functions and Their Graphs

67

(8)

Slope and Rate of Change

75

(7)

Quick Graphs of Linear Equations

82

(9)

Quiz 1

89

(1)

Graphing Calculator: Graphing Equations

90

(1)

Writing Equations of Lines

91

(9)

Correlation and Best-Fitting Lines: Exploring Data and Statistics

100

(8)

Concept Activity: Fitting a Line to a Set of Data

99

(7)

Quiz 2

106

(1)

Graphing Calculator: Using Linear Regression

107

(1)

Linear Inequalities in Two Variables

108

(6)

Piecewise Functions

114

(8)

Graphing Calculator: Graphing Piecewise Functions

121

(1)

Absolute Value Functions

122

(17)

Quiz 3

128

(10)

Systems of Linear Equations and Inequalities

Chapter Study Guide

138

(1)

Solving Linear Systems by Graphing

139

(9)

Graphing Calculator: Graphing Systems of Equations

146

(2)

Solving Linear Systems Algebraically

148

(8)

Concept Activity: Combining Equations in a Linear System

147

(8)

Quiz 1

155

(1)

Graphing and Solving Systems of Linear Inequalities

156

(7)

Linear Programming: Exploring Data and Statistics

163

(7)

Quiz 2

169

(1)

Graphing Linear Equations in Three Variables

170

(7)

Graphing Calculator: Graphing Linear Equations in Three Variables

176

(1)

Solving Systems of Linear Equations in Three Variables

177

(22)

Quiz 3

184

(14)

Matrices and Determinants

Chapter Study Guide

198

(1)

Matrix Operations: Exploring Data and Statistics

199

(9)

Graphing Calculator: Using Matrix Operations

207

(1)

Multiplying Matrices

208

(6)

Determinants and Cramer's Rule

214

(9)

Quiz 1

221

(2)

Identity and Inverse Matrices

223

(7)

Concept Activity: Investigating Identity and Inverse Matrices

222

(8)

Solving Systems Using Inverse Matrices

230

(19)

Quiz 2

236

(1)

Extension: Solving Systems Using Augmented Matrices

237

(11)

Quadratic Functions

Chapter Study Guide

248

(1)

Graphing Quadratic Functions

249

(7)

Solving Quadratic Equations by Factoring

256

(8)

Solving Quadratic Equations by Finding Square Roots

264

(8)

Quiz 1

270

(1)

Graphing Calculator: Solving Quadratic Equations

271

(1)

Complex Numbers

272

(10)

Completing the Square

282

(9)

Concept Activity: Using Algebra Tiles to Complete the Square

281

(9)

Graphing Calculator: Finding Maximums and Minimums

290

(1)

The Quadratic Formula and the Discriminant

291

(8)

Quiz 2

298

(1)

Graphing and Solving Quadratic Inequalities

299

(7)

Modeling with Quadratic Functions: Exploring Data and Statistics

306

(17)

Quiz 3

312

(10)

Polynomials and Polynomial Functions

Chapter Study Guide

322

(1)

Using Properties of Exponents

323

(6)

Evaluating and Graphing Polynomial Functions

329

(9)

Graphing Calculator: Setting a Good Viewing Window

337

(1)

Adding, Subtracting, and Multiplying Polynomials

338

(7)

Quiz 1

344

(1)

Factoring and Solving Polynomial Equations

345

(7)

The Remainder and Factor Theorems

352

(7)

Finding Rational Zeros

359

(7)

Quiz 2

365

(1)

Using the Fundamental Theorem of Algebra

366

(7)

Graphing Calculator: Solving Polynomial Equations

372

(1)

Analyzing Graphs of Polynomial Functions

373

(7)

Modeling with Polynomial Functions: Exploring Data and Statistics

380

(21)

Concept Activity: Exploring Finite Differences

379

(7)

Quiz 3

386

(14)

Powers, Roots, and Radicals

Chapter Study Guide

400

(1)

nth Roots and Rational Exponents

401

(6)

Properties of Rational Exponents

407

(8)

Quiz 1

414

(1)

Power Functions and Function Operations

415

(7)

Inverse Functions

422

(9)

Concept Activity: Exploring Inverse Functions

421

(8)

Quiz 2

429

(1)

Graphing Calculator: Graphing Inverse Functions

430

(1)

Graphing Square Root and Cube Root Functions

431

(6)

Solving Radical Equations

437

(8)

Statistics and Statistical Graphs: Exploring Data and Statistics

445

(20)

Quiz 3

452

(1)

Graphing Calculator: Statistics and Statistical Graphs

453

(11)

Exponential and Logarithmic Functions

Chapter Study Guide

464

(1)

Exponential Growth

465

(9)

Exponential Decay

474

(6)

Concept Activity: Exponential Growth and Decay

473

(7)

The Number e

480

(6)

Quiz 1

485

(1)

Logarithmic Functions

486

(7)

Properties of Logarithms

493

(8)

Graphing Calculator: Graphing Logarithmic Functions

500

(1)

Solving Exponential and Logarithmic Equations

501

(8)

Quiz 2

508

(1)

Modeling with Exponential and Power Functions: Exploring Data and Statistics